6942136320 has 768 divisors, whose sum is σ = 30002918400. Its totient is φ = 1486356480.

The previous prime is 6942136301. The next prime is 6942136349. The reversal of 6942136320 is 236312496.

6942136320 is a `hidden beast` number, since 6 + 9 + 4 + 2 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901015 + ... + 32901225.

It is an arithmetic number, because the mean of its divisors is an integer number (39066300).

Almost surely, 2^6942136320 is an apocalyptic number.

6942136320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6942136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001459200).

6942136320 is an abundant number, since it is smaller than the sum of its proper divisors (23060782080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6942136320 is a wasteful number, since it uses less digits than its factorization.

6942136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6942136320 is about 83319.4834357487. The cubic root of 6942136320 is about 1907.6456760660.

The spelling of 6942136320 in words is "six billion, nine hundred forty-two million, one hundred thirty-six thousand, three hundred twenty".